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Simplifying 3(v + -5) = 5(v + -4) Reorder the terms: 3(-5 + v) = 5(v + -4) (-5 * 3 + v * 3) = 5(v + -4) (-15 + 3v) = 5(v + -4) Reorder the terms: -15 + 3v = 5(-4 + v) -15 + 3v = (-4 * 5 + v * 5) -15 + 3v = (-20 + 5v) Solving -15 + 3v = -20 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -15 + 3v + -5v = -20 + 5v + -5v Combine like terms: 3v + -5v = -2v -15 + -2v = -20 + 5v + -5v Combine like terms: 5v + -5v = 0 -15 + -2v = -20 + 0 -15 + -2v = -20 Add '15' to each side of the equation. -15 + 15 + -2v = -20 + 15 Combine like terms: -15 + 15 = 0 0 + -2v = -20 + 15 -2v = -20 + 15 Combine like terms: -20 + 15 = -5 -2v = -5 Divide each side by '-2'. v = 2.5 Simplifying v = 2.5
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